Reducing subspace of analytic Toeplitz operators on the Bergman space

被引：54

作者：

Hu, JY ^{[1
]}

Sun, SH

Xu, XM

Yu, DH

机构：

[1] Jiaxing Univ, Inst Math, Jiaxing 314001, Zhejiang, Peoples R China

[2] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

[3] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[4] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2004年 / 49卷 / 03期

关键词：

super-isometric dilation; reducing subspace; Bergman shift; Toeplitz operator;

D O I：

10.1007/s00020-002-1207-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that the analytic Toeplitz operator with finite Blaschke product symbol on the Bergman space has at least a reducing subspace on which the restriction of the associated Toeplitz operator is unitary equivalent to the Bergman shift.

引用

页码：387 / 395

页数：9

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